A triangle has side lengths of 18 cm, 80 cm, and 81 cm. Classify it as acute, obtuse, or right.

Mathematics

2 answers:

nirvana33 [79]2 years ago

8 0

Answer:

The answer is:

C - Acute

Hope this helps :)

Step-by-step explanation:

hichkok12 [17]2 years ago

5 0

81^2 = 18 ^2 + 80^
6561 = 324 + 6400
6561 = 6724
It is not a right angle, since 18^2 + 80^2 does not equal 81^2.
So,
Using The law of cosines:
The largest angle C is opposite to the side c.
Therefore,
c^2 = a^2 + b^2 -2ab cosC 
Here,
c^2 < (a^2 + b^2)
cosC must be positive which makes C an acute angle.

You might be interested in

Tricia listed her assets and liabilities.

kumpel [21]

Answer:

The correct answer is A. Credit card bill and B. Car loan

Step-by-step explanation:

Let's recall that we consider a personal or familiar liability an obligation to pay money you or your family owe to another person or financial institution like a bank. Liabilities can be classified according to the term, either short such as a credit card or loan from the bank with one-year term, or long such as a car loan or mortgage.

According to that definition, Tricia's liabilities are A. Credit card bill and B. Car loan.

6 0

3 years ago

Read 2 more answers

How do I find the correct slope on a graph?

-BARSIC- [3]

Answer:

To find the slope of a line from a graph, first choose 2 points along the line and write down the X and Y coordinates for each. Next, find the rise by taking the difference between the 2 Y coordinates. If the line slopes up as it moves to the right, the rise will be positive. If it slopes down, the rise will be negative.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Suppose we are testing the null hypothesis H 0 mu=20 and the alternative H iu =20 , normal population with sigma=6 A random samp

cupoosta [38]

Answer:

The value of the test statistic is $z = -1.5$